A 28-year-old man from Delhi with a family history of cystic fibrosis (CF) presents for carrier screening before marriage. His sister was diagnosed with CF due to a known CFTR gene deletion (ΔF508). The genetic counsellor orders molecular testing to determine if he carries the same mutation. Which combination of techniques would most efficiently detect the ΔF508 deletion and simultaneously identify any additional CFTR mutations in this patient?